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GCF of 706/172, 575/745

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 706/172, 575/745 i.e 1/128140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 706/172, 575/745.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 706/172,575/745?

Given fractions are 706/172,575/745

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 706/172,575/745, numerators are 706,575

Denominators are 172,745

The GCF of 706,575 is 1 .

LCM of 172,745 is 128140.

The greatest common factor of 706/172,575/745 = [GCF of 706,575]/[LCM of 172,745]= 1/128140

Therefore, the GCF of 706/172,575/745 is 1/128140.

Greatest Common Factor of 706,575

To find the highest common factor of 706,575, we have to find the factors of both numbers and list the highest common factor.

The factors of 706 are 1, 2, 353, 706

The factors of 575 are 1, 5, 23, 25, 115, 575

The HCF of 706,575 is 1.

Lets's calculate GCF of 706,575

Greatest Common Factor (GCF) of 706,575 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 706,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,575 By Matching Biggest Common Factor Method

Now, list down the factors of 706

:

1,2,353,706

Now, list down the factors of 575

:

1,5,23,25,115,575

Greatest Common Factor

We found the factors 706,575 . The biggest common factor number is the GCF number.
So the greatest common factor 706,575 is 1.

Lets's calculate LCM of 172,745

Lowest Common Multiple of 172,745 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 128140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128140

Therefore, the GCF of Fractions 706/172,575/745 is 1/128140

Least Common Multiple of 172,745 with GCF Formula

Least Common Multiple of 172,745 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 172,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,745) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(172,745) x common factors =1 x 1 = 1

LCM(172,745) = ( 172 × 745 ) / 1

LCM(172,745) = 128140 / 1

LCM(172,745) = 128140


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FAQs on GCF of Fractions of 706/172, 575/745

1. What is the HCF of 706,575?

The HCF of 706,575 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 706/172, 575/745?

Answer: GCF of Numerators as per given numbers 706/172, 575/745 is

GCF of Numerators i.e. for 706,575 is 1

LCM of denominators i.e. for 172,745 is 128140.

Thus, GCF of Fractions is 1/128140.Finally, GCF of Fractions for 706/172, 575/745 is 1/128140.